On Monday, 17 June 2013 07:43:58 UTC+2, Zeit Geist wrote: > In some systems consisting of ZFC + Some "Large Cardinal Axiom" CH, even GHC, can be proved or disproved. Perhaps Godel foresaw the coming power of Inner Model Theory and Descriptive Set Theory.
In some axiom systems it is possible to prove that the reals can be well-ordered, in other axiom-systems it is possible to prove that the reals cannot be well-ordered. This shows that these "proofs" are nonsense, only pursued by matheologians. No science would rely on modern logic.
The question is simply whether the reals can be well-ordered or not. But that question is not decided by matheology.
How can some people remain that stupid to give a dime for a "proof" in matheology after Zermelo's desaster has become general knowledge? (Zermelo thought to prove that it can be done. Fraenkel wrote that *hitherto* nobody had accomplished it.) Menawhile the value of modern logic should be obvious to everybody.